A note on operator tuples which are $(m,p)$-isometric as well as $(\mu,\infty)$-isometric
Operators and Matrices, Vol. 11, No. 3 (2017), 623-633 We show that if a tuple of commuting, bounded linear operators $(T_1,...,T_d) \in B(X)^d$ is both an $(m,p)$-isometry and a $(\mu,\infty)$-isometry, then the tuple $(T_1^m,...,T_d^m)$ is a $(1,p)$-isometry. We further prove some additional prope...
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| creator | Hoffmann, Philipp H. W |
| description | Operators and Matrices, Vol. 11, No. 3 (2017), 623-633 We show that if a tuple of commuting, bounded linear operators $(T_1,...,T_d)
\in B(X)^d$ is both an $(m,p)$-isometry and a $(\mu,\infty)$-isometry, then the
tuple $(T_1^m,...,T_d^m)$ is a $(1,p)$-isometry. We further prove some
additional properties of the operators $T_1,...,T_d$ and show a stronger result
in the case of a commuting pair $(T_1,T_2)$. |
| doi_str_mv | 10.48550/arxiv.1508.00916 |
| format | Article |
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\in B(X)^d$ is both an $(m,p)$-isometry and a $(\mu,\infty)$-isometry, then the
tuple $(T_1^m,...,T_d^m)$ is a $(1,p)$-isometry. We further prove some
additional properties of the operators $T_1,...,T_d$ and show a stronger result
in the case of a commuting pair $(T_1,T_2)$.</description><identifier>DOI: 10.48550/arxiv.1508.00916</identifier><language>eng</language><subject>Mathematics - Functional Analysis</subject><creationdate>2015-08</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1508.00916$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1508.00916$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Hoffmann, Philipp H. W</creatorcontrib><title>A note on operator tuples which are $(m,p)$-isometric as well as $(\mu,\infty)$-isometric</title><description>Operators and Matrices, Vol. 11, No. 3 (2017), 623-633 We show that if a tuple of commuting, bounded linear operators $(T_1,...,T_d)
\in B(X)^d$ is both an $(m,p)$-isometry and a $(\mu,\infty)$-isometry, then the
tuple $(T_1^m,...,T_d^m)$ is a $(1,p)$-isometry. We further prove some
additional properties of the operators $T_1,...,T_d$ and show a stronger result
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\in B(X)^d$ is both an $(m,p)$-isometry and a $(\mu,\infty)$-isometry, then the
tuple $(T_1^m,...,T_d^m)$ is a $(1,p)$-isometry. We further prove some
additional properties of the operators $T_1,...,T_d$ and show a stronger result
in the case of a commuting pair $(T_1,T_2)$.</abstract><doi>10.48550/arxiv.1508.00916</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Functional Analysis |
| title | A note on operator tuples which are $(m,p)$-isometric as well as $(\mu,\infty)$-isometric |
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